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Finding the Fourth Proportional to 23,077.84, 34,621.62 and 7,506.40

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Solution

The fourth proportional to 23,077.84, 34,621.62 and 7,506.40 is: 11,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.84 : 34,621.62 = 7,506.40 : x
  2. Step 2: Convert to fraction form
    23,077.84/34,621.62 = 7,506.40/x
  3. Step 3: Cross multiply
    23,077.84x = 34,621.62 × 7,506.40
  4. Step 4: Simplify right side
    23,077.84x = 259,883,728.37
  5. Step 5: Solve for x
    x = 259,883,728.37/23,077.84
  6. Step 6: Final answer
    x = 11,261.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.